Evaluation of J1 and J2 integrals for curved cracks using an enriched boundary element method

Simpson, Robert Napier and Trevelyan, J. 2011. Evaluation of J1 and J2 integrals for curved cracks using an enriched boundary element method. Engineering Fracture Mechanics 78 (4) , pp. 623-637. 10.1016/j.engfracmech.2010.12.006

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Abstract

This paper introduces an enriched Boundary Element Method in which functions are introduced that are known to model singularities or discontinuities from a priori knowledge of the solution space. Additional fundamental solutions are introduced to solve for the additional unknowns created by enrichment and a numerical integration routine is outlined for the evaluation of strongly singular and hypersingular enriched boundary integrals. The solution of a curved crack in an infinite domain by Muskhelishvili is used to assess the accuracy of the method. Using an appropriate technique to evaluate J1 and J2 integrals, it is found that very good agreement with the exact solution is seen with improvements in accuracy over similar FEM implementations.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Subjects:	T Technology > TJ Mechanical engineering and machinery
Uncontrolled Keywords:	BEM; Fracture; J-integral; J1; J2 enrichment
Publisher:	Elsevier
ISSN:	0013-7944
Last Modified:	19 Mar 2016 22:23
URI:	https://orca.cardiff.ac.uk/id/eprint/14351

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